The length, breadth and height of a rectangular room are in the ratio of 3:2:1. If the room contains 3072 cubic meter of air, find the length, breadth and height of the room.​

Answers

Answer 1

Answer:

length: 24 mbreadth: 16 mheight: 8 m

Step-by-step explanation:

Let k represent the multiplier of the ratio units that will give actual dimensions. The the height can be represented by k, the breadth by 2k, and the length by 3k. The volume of the room will be ...

  V = LBH

  V = (3k)(2k)(k) = 6k³

  3072 m³ = 6k³ . . . . . use known volume

  512 m³ = k³ . . . . . . . divide by 6

  8 m = k . . . . . . . . . take the cube root

The height of the room is 8 m, its breadth is 16 m, and its length is 24 m.

Answer 2

Answer:

See below ↓↓↓

Step-by-step explanation:

Given :

Length, breadth, and height in the ratio 3 : 2 : 1Room contains 3072 cubic meter of air [refers to volume]

Solving :

Let the length, breadth, and height be 3x, 2x, and x respectivelyMultiply them and equate to the volume(3x)(2x)(x) = 30726x³ = 3072x³ = 512x = 8

Solution :

Length = 3x = 24 mBreadth = 2x = 12 mHeight = x = 8 m

Related Questions

Hello people ~
what's the area of a rectangle whose width is 16m and length is 13m?​

Answers

Answer:

208 m²

Step-by-step explanation:

[tex]16 \: m\times 13 \: m = 208 \: {m}^{2} [/tex]

Find the y-intercept and the slope of the line.
Y=-4x-3

Answers

Answer:-

Slope:-

-4

y-intercept:-

(0,-3)

Solution:-The equation of this line is written in Slope-Intercept Form, which looks like so:-y=mx+bIn this formula, m stands for the slope of the line, and b stands for the y-intercept.Please remember that the slope is the line's rise (the amount of units we move up, or "rise" divided by its run (the amount of units we move left or right, and the y-intercept is the point where the line intersects the y-axis. (0, b)Also, please notice that m is the coefficient of x, and b is the constant.Therefore, the slope of the line is equivalent to -4, and the y-intercept is (0, -3).

Hope it helps.

Do comment if you have any query.

Answer:

Slope: 4; y-intercept: -3

Explanation:

To find the slope of the line, we will look at the number in front of x.

That number is -4. Hence, the slope is -4

Now, the y-intercept is the constant.

The constant is -3.

Hence, the y-intercept is -3.

5. What is the value of x and y?

a.
b.
c.
d.

Answers

Answer:

30[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The triangle given is a special right triangle with angle measures as follows:

45-45-90

The side lengths for this special triangle is represented with a-a[tex]\sqrt{2}[/tex]-a[tex]\sqrt{2}[/tex]

a represents the side length that sees hypotenuse and it is 30 so x and y

30[tex]\sqrt{2}[/tex]

the question is the screenshot

Answers

Answer:

Account [B] is worth the most after 10years. It will have a value of $[21589.656]

Name two sides that appear to be parallel

Answers

Step-by-step explanation:

These are sides that will never meet and are always the same distance apart. Some shapes that have parallel sides include the parallelogram, the rectangle, the square, the trapezoid, the hexagon, and the octagon.

How would three billion, nine hundred seventy-six thousand, twelve be written in standard form?

Answers

Step-by-step explanation:

3.000976×10⁹ would be how I will write in standard form

What is the absolute value of -|-4| ?

Answers

Answer:

- 4

Step-by-step explanation:

the absolute value function always give a positive result , that is

| - a | = | a | = a

then

- | - 4 | = - | 4 | = - 4

Which ordered pairs match the mapping diagram? O (1, 0), (7, 2), (3, 1), (-1, 1), (-7, -6) (0, 1), (2, 7), (3, 4), 4, 1), -6, 7) O(0, 1), (0, 4), (0, 7), (2, 7), (6, 7) (0 1), (2, 7), 3, 4), (4, 1), (6, 7)​

Answers

Answer:

I've done this b4

(0, 1), (2, 7), (3, 4), (-4, 1) , (-6, 7)

CHOOSING BRAINLIEST PLEASE HELP

Answers

Answer:

The answer is the 2nd 1

Step-by-step explanation:

It's a basic graph

Thomas is rolling a fair six-sided number cube numbered from 1 to 6. The situation with a probability closest or equal to 0 is rolling a number

greater than 5
greater than 1
less than 9
less than 4


For a class activity, each student randomly chooses a number from 1 to 10. Which model shows the probability of choosing a multiple of 4?

2/8
2/10
8/2
10/2


Sonya is thinking of conducting a survey with her seventh-grade classmates. She knows she will need to use a sample of students in her survey. Which of the following surveys would not be valid with a sample of seventh-grade classmates?

theme for the seventh-grade Fun Night
bank that offer the most services
milk choices offered at lunch
best backpack for school


A bag contains 4 white, 3 blue, and 3 red marbles. Find the probability of choosing a red marble, then a white marble if the marbles are replaced.

7/10
7/100
12/90
12/100


Find the probability of spinning the following. P(not 7)

1/7
1/8
7/8
4/8

Answers

The answers to your questions are as follows :

The situation with a probability closest or equal to 0 is rolling a number: (A) greater than 5. The model which shows the probability of choosing a multiple of 4 is: ( B )  [tex]\frac{2}{10}[/tex] (2/10)The only survey that would not be valid with a sample of seventh-grade classmates is : ( B ) Bank that offer the most services.The probability of choosing a red marble, then a white marble if the marbles are replaced is : ( A ) 7/10.The probability of spinning the following. P(not 7) = 7/8

Meaning of Probability

Probability is a branch of mathematics that deals with the degree of occurrence of an event.

1) The situation with a probability closest or equal to 0 is rolling a number: (A) greater than 5.

Because: there is only one number greater than 5 in that list (which is 6)

2) The model which shows the probability of choosing a multiple of 4 is: ( B )  [tex]\frac{2}{10}[/tex] (2/10)

Because: there are only two multiples of 4 that can be picked from number 1-10

3) The only survey that would not be valid with a sample of seventh-grade classmates is :  Bank that offer the most services.

Because: they are not working and might have little or no idea about banking services.

4) The probability of choosing a red marble, then a white marble if the marbles are replaced is : 7/10.

where the probability of picking a red marble is =  [tex]\frac{3}{10}[/tex]

The probability of picking a white marble is = [tex]\frac{4}{10}[/tex]

since the marbles were replaced : [tex]\frac{3}{10}[/tex] + [tex]\frac{4}{10}[/tex] = [tex]\frac{7}{10}[/tex]

5) The probability of spinning the following. P(not 7) = 7/8

The probablity of picking a 7 is = [tex]\frac{1}{8}[/tex]

The probability of not is = 1 - probability of picking 7

1 - [tex]\frac{1}{8}[/tex] = [tex]\frac{7}{8}[/tex]

In conclusion, go the answers related to your questionare  provided above for each question.

Learn more about probability : https://brainly.com/question/24756209

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The selling price of the Robertsons family house dropped from $500,000 to $250,000. What was the percent decrease in the value of their home?
( please solve, NOT in proportion please!! )

Answers

Answer:

50%

Step-by-step explanation:

You can literally do it mentally lol

 $500,000

- $250,000

 $250,000

so by common sense, it's 50%

Hope it helped!

Answer:

50%

Step-by-step explanation:

50% of the value of the house dropped.

So 50% of 500,000.

50 percent *500000 =( 50:100)*500000 =( 50*500000):100 =25000000:100 = 250000

What is the spatial relationship between a rectangle and a parallelogram?

Answers

Answer:

a rectangle is a parallelogram as the parallogram is made up of 2 triangles and a smaller rectangle. When the rectangle is divided into 2 triangles and another small rectangle, and is then being put together with the triangles on each side, it will be a parallelogram.

Step-by-step explanation:

Explanation:

A rectangle has the following properties:

Has 4 sidesHas 4 right anglesOpposite sides lengths are equal.Diagonals of rectangle are equal.Opposite sides are parallel.

A parallelogram has the following properties:

Has 4 sidesOpposite angles are equal.Opposite sides are equal.Opposite sides are parallel.

The similiarities between a rectangle and a parallelgram:

Has 4 sidesOpposite sides are parallel.Opposite sides are equal.Opposite sides lengths are equal.

The difference between a rectangle and a parallelogram:

The main difference between a rectangle and a parallelogram is that a rectangle has four right angles while a parallelogram does not have four right angles.

Which polynomial represents the area of the rectangle?
44-6
x +1
O 4x2 - 2x - 6
O 4.2 - 6
O 4.c+ 2x - 6
0422 - 10.2 - 6

Answers

Answer:

4x2 - 2x - 6

How do graphs help you understand the data?

Answers

Answer:

Sometimes, data can be better understood when presented by a graph than by a table because the graph can reveal a trend or comparison.

Prisms A and B are similar. The volume of prism A is 375cm3. The volume of prism B is 648cm3. The surface area of prism A is 250cm2. Work out the surface area of prism B.​

Answers

Answer:

We have the length, width, and height of the rectangular prism, so we can calculate V=l×w×h=20cm×10cm×10cm=2,000cm3 V = l × w × h = 20 cm × 10 cm × 10 cm = 2 , 000 cm 3

The surface area of Prism B is approximately 367.25 cm^2.

Since Prisms A and B are similar, their corresponding sides are in proportion, and their volumes are related by the cube of the scale factor between them.

Let the scale factor between Prism A and Prism B be k. Then:

Volume of Prism A / Volume of Prism B = (Side length of Prism A / Side length of Prism B)^3

Given that the volume of Prism A is 375 cm^3 and the volume of Prism B is 648 cm^3, we can set up the equation:

375 / 648 = (Side length of Prism A / Side length of Prism B)^3

Now, let's solve for the scale factor (k):

k^3 = 375 / 648

k^3 = 0.5787037037

k ≈ 0.825 (rounded to three decimal places)

Now, since the surface area of a prism is proportional to the square of its side length, we can find the ratio of the surface areas:

(Surface area of Prism A / Surface area of Prism B) = (Side length of Prism A / Side length of Prism B)^2

Given that the surface area of Prism A is 250 cm^2, we can find the surface area of Prism B:

Surface area of Prism B = Surface area of Prism A / (k^2)

Surface area of Prism B = 250 / (0.825^2)

Surface area of Prism B ≈ 250 / 0.680625

Surface area of Prism B ≈ 367.25 cm^2

Therefore, the surface area of Prism B is approximately 367.25 cm^2.

To know more about area:

https://brainly.com/question/26076986

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Hurry pls!

A miniature connector is shaped like this hexagonal prism. The prism has a base area of 8.15 cm².

What is the volume of the connector?

Enter your answer as a decimal in the box.
cm³


Answers

The volume of the connector given the base area and the height is 84.70cm³.

What is the volume of the connector?

A hexagonal prism is a three dimensional object that is made up of a hexagonal base. It has 8 faces, 18 edges, and 12 vertices.

Volume = [tex]\frac{3\sqrt{3} }{2} a^{2}h[/tex]

Where:

a²= base area h = height

2.598076 x 8.15 x 4 = 84.70cm³

To learn more about prisms, please check: https://brainly.com/question/8890358

Answer:

32.6 cm³ for K12

Use the two-way frequency table at the right to find the probability P(7th-grade boy).
(Simplify your answer.)

Answers

Answer:

8/50

Step-by-step explanation:

find the total number of 7th grade boys

put that in the numerator

I'm assuming you're trying to get the probability of picking a 7th grade boy out of all the kids in the soccer camp so 50

im stuck and i need help

Answers

a right angle is always 90° and is you sum up all 3 of the angles of the triangle, you always get 180°, so:

180°-55°-90°= 35°

ANSWER QUESTION BELOW CORRECTLY FOR BRAINLIEST

Answers

The answer is C

Sorry if wrong

HELP PLEASE!!!!!!!!!!!

The sum of all but one interior angle of an octagon is 776°. The measure of the final interior angle is ___ degrees.

Answers

the sum of all interior angles in a polygon, regular or not is

180( n - 2), n = number of sides

now, this is an octagon, with 8 sides, so it has a total of interior angles of 180( 8 - 2) or 180(6) = 1080.

we know the sum of all BUT one is 776°, so the last one must be 1080° - 776° = 304°.

Choose all lengths that are equal to

3 yards 16 inches.


A.

124 in.


B.

4 yd 4 in.


C.

3 yd 1 1/2 ft


D.

2 yd 52 in.


E.

10 ft 4 in.

(15 points)

Answers

Answer: The answer you would be looking for is A. D. E.

Step-by-step explanation:

I hope i helped and can i have brainliest please <3

In a answered math the problem [tex]\sqrt{-2}[/tex] plus [tex]\sqrt{-18}[/tex] was [tex]4\sqrt{2i}[/tex] as it was rewritten as [tex]\sqrt{2i} + \sqrt{18i}[/tex]. Why can [tex]\sqrt{-2}[/tex] be written as[tex]\sqrt{2i}[/tex]

Answers

Ok so basically this is this and that is that !

[tex]\text{The imaginary unit,}~ i = \sqrt{-1}\\\\\sqrt{-2} ~ \text{can be written as.}\\\\\sqrt{-2}\\\\=\sqrt{-1 \cdot 2}\\\\=\sqrt{-1} \sqrt{2}\\\\=i\sqrt 2\\\\=\sqrt 2 i[/tex]

Write an equation for a direct variation that includes the point (3, 12).

Answers

SbbahavakiNana. Hsiang Baha’i

PLEASE HELP Solve the right triangle.
Round your answers to the nearest tenth.

Answers

I think A equals 44 degrees
A = 44 ( triangles add up to 180°) as you can see there is a right angle, a right angle = 90°. Sooo if we do 90+46 we get 136. Since a triangle adds up to 180° we do 180-136=44

kevin completed 10 problems of his homework during lunch this is 2/7 of the total assignment how many problem was Kevin assigned for homework

Answers

Answer:

35 problems

Step-by-step explanation:

We know that 10 problems are 2/7 of his total assignment, so we can set up the following equation,

[tex]\frac{10}{x\\} = \frac{2}{7}[/tex]

(side note: x is the denominator because we don't know how many problems it is out of yet)

We can cross multiply which gives us: (7x10) and 2(x)

70 = 2x (set them equal)

x = 35 (divide 70 by 2)

Hope this helps!

Select all that apply.

Which pairs of angles are supplementary?




1 and 6
5 and 7
5 and 8
2 and 3

Answers

Answer:

1 and 6

5 and 7

Step-by-step explanation:

Supplementary angles are 180 degrees and so is a linear pair

1 and 6 add up to 180 degrees meaning they are supplementary. Angle 1 and angle 2 are a linear pair so 180-120=60 which is the degree of angle 1, angle 2 corresponds to angle 6, so angle 1 + angle 6 would equal 180 degrees. (120+60)

5 and 7 are a linear pair which automatically makes them supplementary

The others are vertical angles which don't add up to 180. (120+120=240)(60+60=120)

the phases in algebra are

Answers

Answer:

rhetorical stage, syncopated stage, symbolic stage

Step-by-step explanation:

Each student in Mr. Johnson's sixth-grade class kept track of how many books they read over
summer vacation.
Books read
0
2
4.
6
8
10
What was the median number of books Mr. Johnson's students read?

Answers

the median is 5! it’s the number in the middle, since 4 and 6 are in the middle it would be the number between that which is 5

Answer-5

Answer:

4

Step-by-step explanation:

I got 4 when I answered on IXL for anyone who needs help on it!

Solve the equation using inverse operations. 40=m/2

Answers

Answer:

m = 80

Step-by-step explanation:

40 = [tex]\frac{m}{2}[/tex] ( multiply both sides by 2 )

80 = m

Here are two squares, A and B.
B
The length of the side of square A is 50% of the length of the side of square B.
Express the area of the shaded region of square A
as a percentage of the area of square B.

Answers

Answer:

The shaded region of A is 12.5% of the area of B.

Step-by-step explanation:

Although the side of square A is 50% of the side of square B, if you think about things logically here square A is only 25%of square B. Therefore the shaded area HAS to be half of 25% making the answer 12.5%

{Hello, arman78624}

Answer:

12.5%

Step-by-step explanation:

Since it given that the length of the sie of a square A is 50% of the  length of the side of square B. As well as given us the question we need to find the answer to which is:

Express the area of the shaded region of square A as a percentage of the area of square B.

What we need:

Area of shaded region of Square A as a % of Area of Square B

Now we can solve but first :

Let "b" be the side length of Square B

Let "a" be the side length of Square A

As well as:

It given side length of Square A (a) = 50% (1/2) of side length of Square B (b), therefore we have,

a = ½b

Area of a square = s², where s is the  side length

Area of Square A = (½b)² = b²/4

Area of Square B = b²

Finding the area of the shaded region of the Square A = ½ of area of Square A.

Area of shaded region of Square A = ½*(b²/4) = b²/8

Expressing the area of the shaded portion of square A as a percentage of are of Square B:

Area of shaded portion of Square A ÷ Area of Square B × 100%

Solving:

[tex]\frac{\frac{b^2}{8}}{b^2}\times100[/tex]

[tex]\frac{b^2}{8}\times\frac{1}{b^2}\times100[/tex]

[tex]\frac{b^2\times1}{8\timesb^2}\times100[/tex]

[tex]\frac{b^2}{8\times b^2}\times100[/tex]

[tex]\frac{1}{8}\times100=12.5[/tex]

Base on the solving above we can conclude that:

The area of the shaded region of Square A is 12.5% of the area of Square B.

~[DiscordUser]~

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